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Finding the Fourth Proportional to 512,316, 768,478.32 and 179,892

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Solution

The fourth proportional to 512,316, 768,478.32 and 179,892 is: 269,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,316 : 768,478.32 = 179,892 : x
  2. Step 2: Convert to fraction form
    512,316/768,478.32 = 179,892/x
  3. Step 3: Cross multiply
    512,316x = 768,478.32 × 179,892
  4. Step 4: Simplify right side
    512,316x = 138,243,101,941.44
  5. Step 5: Solve for x
    x = 138,243,101,941.44/512,316
  6. Step 6: Final answer
    x = 269,839.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.